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Finding the Fourth Proportional to 165.01, 247.09 and 160.15

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Solution

The fourth proportional to 165.01, 247.09 and 160.15 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.01 : 247.09 = 160.15 : x
  2. Step 2: Convert to fraction form
    165.01/247.09 = 160.15/x
  3. Step 3: Cross multiply
    165.01x = 247.09 × 160.15
  4. Step 4: Simplify right side
    165.01x = 39,570.23
  5. Step 5: Solve for x
    x = 39,570.23/165.01
  6. Step 6: Final answer
    x = 239.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.